Orbital Analysis for matched events on 20210810_030742.586_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 62.06° Bg 23.30° Vg 70.36km/s
mass 0.06490g, abs. mag -2.0
Path Details
------------
start 2.11° 49.93° 102.06km
end   1.99° 49.92° 88.23km

Orbit Details
-------------
Semimajor axis -2.34A.U., eccentricity 1.39, inclination 139.97°, Period 1000000000.00Y, LA Sun 137.43°, 

Full details below
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Detailed report below graphs

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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.630354009569
Time: 2021-08-10 03:07:42.586427 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK0038
 Convergence angle = 3.57967 deg
 R.A. =  46.63837  Dec = +58.02518 deg

Best intersection: Stations UK002C and UK0038 with Qconv = 3.58 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4140788.49 +/- 1792.25 m
 Y =    571303.49 +/- 3819.07 m
 Z =   4935687.07 +/- 267.32 m
 Vx =    30477.57 +/- 15150.53 m/s
 Vy =    41772.89 +/- 31377.82 m/s
 Vz =    48982.21 +/- 25611.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.743199e+05, +9.499197e+05, -7.464815e+04, -7.854020e+05, -2.003820e+06, +3.500218e+05
+9.499197e+05, +1.912711e+06, -1.485910e+05, -1.694225e+06, -4.202329e+06, +7.263395e+05
-7.464815e+04, -1.485910e+05, +1.228636e+04, +1.376760e+05, +3.561940e+05, -5.846948e+04
-7.854020e+05, -1.694225e+06, +1.376760e+05, +4.148688e+06, +8.706904e+06, -1.194997e+06
-2.003820e+06, -4.202329e+06, +3.561940e+05, +8.706904e+06, +1.924365e+07, -2.658944e+06
+3.500218e+05, +7.263395e+05, -5.846948e+04, -1.194997e+06, -2.658944e+06, +3.917390e+05

Timing offsets (from input data):
    UK002C: -0.000038 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 03:07:42.586427 UTC
  Lon     = ++2.106368 +/- 0.0485 deg
  Lat     = +49.925565 +/- 0.0171 deg
  Lat geo = +49.738868 +/- 0.0170 deg
  Ht      =  102180.70 +/- 1276.65 m

  JD dynamic   = 2459436.631154750474 
  LST apparent = 7.8554892519 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.88545 +/- 29.6934 deg
  Dec       = +43.44857 +/- 18.5946 deg
  Azimuth   =  83.77059 +/- 42.5601 deg
  Elevation = +58.29122 +/- 7.1682 deg
  Vavg      =  69.49937 +/- 16.9065 km/s
  Vinit     =  71.22579 +/- 17.7498 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.11894 +/- 29.6934 deg
  Dec       = +43.32725 +/- 18.5946 deg
  Azimuth   =  83.82080 +/- 42.5601 deg
  Elevation = +58.08431 +/- 7.1682 deg
  Vavg      =  69.65911 +/- 16.9065 km/s
  Vinit     =  71.38553 +/- 17.7498 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.76046 +/- 30.0504 deg
  Dec    = +43.28407 +/- 18.7274 deg
  Vg     =  70.35525 +/- 17.9473 km/s
  Vinf   =  71.22579 +/- 17.7498 km/s
  Zc     =  31.72952 +/- 7.1057 deg
  Zg     =  31.92976 +/- 7.0727 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.05980 +/- 0.9826 deg
  Bg     = +23.29790 +/- 21.6523 deg
  Vh     =  46.14336 +/- 11.7066 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  73.25232 +/- 54.6259 deg
  Bh     = +37.08971 +/- 25.6366 deg
  Vh_x   = -10.60656 +/- 13.2096 km/s
  Vh_y   = -35.24691 +/- 24.7240 km/s
  Vh_z   = -27.82743 +/- 12.8345 km/s
Orbit:
  La Sun = 137.434200 +/- nan deg
  a      =  -2.340910 +/- 17.3448 AU
  e      =   1.387983 +/- 1.5512
  i      = 139.974496 +/- 32.8611 deg
  peri   = 145.176887 +/- 10.5727 deg
  node   = 137.432162 +/- 0.0178 deg
  Pi     = 282.609049 +/- 10.5737 deg
  q      =   0.908232 +/- 0.0389 AU
  f      =  34.818176 +/- 10.5727 deg
  M      =        nan +/- nan deg
  Q      =  -5.590053 +/- 34.6927 AU
  n      =   0.275187 +/- 4.0035 deg/day
  T      = 1000000000.000000 +/- 405080619.2727 years
  Last perihelion JD = NaN 
  Tj     =  -3.211862 +/- 9.1683
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.817665e-03, +7.563960e-04, +1.222240e-01, +2.940079e-07, +3.168404e-03, -4.734109e-03
q   , +7.563960e-04, +3.606064e-04, +5.641429e-02, +1.323631e-07, +1.482967e-03, -2.120532e-03
Tp  , +1.222240e-01, +5.641429e-02, +8.893663e+00, +2.091187e-05, +2.330240e-01, -3.354807e-01
node, +2.940079e-07, +1.323631e-07, +2.091187e-05, +5.413837e-11, +5.470291e-07, -8.657920e-07
peri, +3.168404e-03, +1.482967e-03, +2.330240e-01, +5.470291e-07, +6.114106e-03, -8.771175e-03
i   , -4.734109e-03, -2.120532e-03, -3.354807e-01, -8.657920e-07, -8.771175e-03, +1.385737e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.141854
 a2 = 37.713254

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 6.607e-06 s
  Stddev    = 2.57e-03 s

Begin point on the trajectory:
  Lon =     2.105333 +/- 0.0483 deg
  Lat =    49.925492 +/- 0.0170 deg
  Ht  = 102057.72 +/- 1266.81 m
End point on the trajectory:
  Lon =     1.987701 +/- 0.0408 deg
  Lat =    49.917211 +/- 0.0148 deg
  Ht  = 88234.51 +/- 964.16 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.527328,  32.150150,    99582.45,    88234.51,          0.025806,     57.93,    137.09,              64.68, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210810_030742_371_0612864.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00, 126.142479,   0.000000,   102057.72,    89605.70,          0.010265,     23.43,     62.30,              64.95, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20210810_030738_992_0609024.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK002C,       0,  0.033832, 2459436.630354402121,  61.86796,  -4.22434,              118.54477,  15.85807,       118.50591,       15.84015,     61.86796,      -4.22434,      61.90915,       -4.21873,  4139481.54,   569512.16,  4933586.59,      49.924021,       +2.084343,   99582.45,  334995.97,       0.00,             3054.34,   -15.88,      0.00,           70071.09,    223.26,     94.36,         149.24,  +2.15,  -0.48
  1,     UK002C,       0,  0.074136, 2459436.630354868714,  61.95722,  -4.62050,              118.69382,  15.47824,       118.68831,       15.47570,     61.95722,      -4.62050,      61.96324,       -4.61970,  4138132.51,   567663.17,  4931418.49,      49.922421,       +2.061570,   96900.98,  332893.58,    3152.66,             6207.00,   266.09,  78221.94,           70071.09,     31.52,     13.31,          21.20,  +1.29,  -1.32
  2,     UK002C,       0,  0.114392, 2459436.630355334375,  62.02318,  -4.95922,              118.82983,  15.15910,       118.84331,       15.16530,     62.02318,      -4.95922,      62.00919,       -4.96119,  4136996.92,   566106.72,  4929593.42,      49.921071,       +2.042361,   94644.06,  331135.27,    5806.53,             8860.87,    52.70,  65924.85,           70071.09,    -76.76,    -32.38,          51.89,  +0.88,  -1.72
  3,     UK002C,       0,  0.154640, 2459436.630355800502,  62.06342,  -5.31320,              118.99630,  14.84122,       119.00303,       14.84431,     62.06342,      -5.31320,      62.05675,       -5.31418,  4135835.54,   564514.92,  4927726.90,      49.919685,       +2.022706,   92336.18,  329349.77,    8520.67,            11575.01,   -99.86,  67435.35,           70071.09,    -38.18,    -16.11,          25.95,  +0.73,  -1.86
  4,     UK002C,       0,  0.194896, 2459436.630356266163,  62.11776,  -5.66240,              119.14749,  14.51954,       119.16104,       14.52577,     62.11776,      -5.66240,      62.10398,       -5.66438,  4134695.61,   562952.52,  4925894.85,      49.918321,       +2.003399,   90071.22,  327609.58,   11184.66,            14239.01,  -303.12,  66176.45,           68890.64,    -76.51,    -32.27,          52.28,  +1.01,  -1.57
  5,     UK002C,       0,  0.235072, 2459436.630356731359,  62.09971,  -5.95687,              119.32953,  14.28302,       119.29030,       14.26496,     62.09971,      -5.95687,      62.14248,       -5.95116,  4133771.12,   561685.40,  4924409.05,      49.917211,       +1.987701,   88234.51,  326205.64,   13345.19,            16399.54, -1004.16,  53776.63,           66399.06,    220.74,     93.31,         151.53,  +4.12,  +1.55
  0,     UK0038,       0,  0.000000, 2459436.630354009569,  65.05066,  -3.59000,              114.95822,  14.28342,       114.98098,       14.29309,     65.05066,      -3.59000,      65.02682,       -3.59455,  4140726.63,   571218.71,  4935587.65,      49.925492,       +2.105333,  102057.72,  372082.25,       0.00,              144.56,  -515.98,      0.00,           76263.98,   -146.40,    -55.06,          86.71,  +2.95,  +0.10
  1,     UK0038,       0,  0.040312, 2459436.630354476161,  65.09365,  -3.95909,              115.13753,  13.95506,       115.13533,       13.95412,     65.09365,      -3.95909,      65.09597,       -3.95865,  4139350.96,   569333.20,  4933376.73,      49.923866,       +2.082129,   99322.89,  369932.77,    3214.93,             3359.49,  -172.30,  79751.31,           76263.98,     14.08,      5.30,           8.39,  +1.83,  -1.01
  2,     UK0038,       0,  0.080612, 2459436.630354942288,  65.16158,  -4.30912,              115.28418,  13.62822,       115.28346,       13.62791,     65.16158,      -4.30912,      65.16253,       -4.30897,  4138042.19,   567539.37,  4931273.33,      49.922314,       +2.060030,   96721.45,  367901.85,    6273.53,             6418.09,    15.89,  75895.68,           76263.98,      4.61,      1.73,           2.76,  +0.69,  -2.14
  3,     UK0038,       0,  0.120904, 2459436.630355408881,  65.22982,  -4.65025,              115.42505,  13.30848,       115.42762,       13.30957,     65.22982,      -4.65025,      65.22749,       -4.65076,  4136779.02,   565808.06,  4929243.22,      49.920811,       +2.038679,   94211.02,  365954.99,    9225.55,             9370.11,    98.08,  73265.55,           76263.98,    -16.34,     -6.15,           9.84,  +0.62,  -2.20
  4,     UK0038,       0,  0.161176, 2459436.630355875008,  65.29341,  -4.96727,              115.55553,  13.01120,       115.56134,       13.01367,     65.29341,      -4.96727,      65.28785,       -4.96843,  4135616.90,   564215.24,  4927375.51,      49.919424,       +2.019009,   91901.73,  364175.08,   11941.41,            12085.97,   -54.46,  67438.01,           74187.99,    -36.72,    -13.82,          22.22,  +0.69,  -2.12
  5,     UK0038,       0,  0.201448, 2459436.630356341135,  65.34849,  -5.28727,              115.69465,  12.71621,       115.69529,       12.71648,     65.34849,      -5.28727,      65.34852,       -5.28740,  4134461.30,   562631.37,  4925518.28,      49.918040,       +1.999437,   89605.70,  362416.72,   14642.03,            14786.59,  -222.25,  67059.53,           72576.83,     -4.01,     -1.51,           2.44,  +0.87,  -1.93

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.